108 citations · 357 across the 15 of their papers we have counts for
4 papers · 1 filter
Sliced-Inverse-Regression-Aided Rotated Compressive Sensing Method for Uncertainty Quantification
Xiu Yang, Weixuan Li, Alexandre Tartakovsky
Compressive-sensing-based uncertainty quantification methods have become a pow- erful tool for problems with limited data. In this work, we use the sliced inverse regression (SIR)…
PDF estimation for power grid systems via sparse regression
Xiu Yang, David A. Barajas-Solano, W. Steven Rosenthal +1
We present a numerical approach for estimating the probability density function (PDF) of quantities of interest (QoIs) of power grid systems subject to uncertain power generation a…
A General Framework for Enhancing Sparsity of Generalized Polynomial Chaos Expansions
Xiu Yang, Xiaoliang Wan, Lin Lin +1
Compressive sensing has become a powerful addition to uncertainty quantification when only limited data is available. In this paper we provide a general framework to enhance the sp…
Atomic radius and charge parameter uncertainty in biomolecular solvation energy calculations
Xiu Yang, Huan Lei, Peiyuan Gao +3
Atomic radii and charges are two major parameters used in implicit solvent electrostatics and energy calculations. The optimization problem for charges and radii is under-determine…